Question

The length of the sides of a triangle are 2x +y/2, 5x/3+y + ½ and 2/3x +2y +5/2. If the triangle is equilateral, find its perimeter.

Answer 1

Explanation:

If the triangle is equilateral :

2x +y/2 = 5x/3+y + ½ = 2/3x +2y +5/2

so the perimeter is : P = 3(2x +y/2) or 3(5x/3+y + ½) or 3(2/3x +2y +5/2)

the simplest is : P = 3(2x +y/2)

P = 6x + (3y)/2